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Finding the Fourth Proportional to 515,947.74, 711,968.82 and 289,549.50

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Solution

The fourth proportional to 515,947.74, 711,968.82 and 289,549.50 is: 399,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,947.74 : 711,968.82 = 289,549.50 : x
  2. Step 2: Convert to fraction form
    515,947.74/711,968.82 = 289,549.50/x
  3. Step 3: Cross multiply
    515,947.74x = 711,968.82 × 289,549.50
  4. Step 4: Simplify right side
    515,947.74x = 206,150,215,846.59
  5. Step 5: Solve for x
    x = 206,150,215,846.59/515,947.74
  6. Step 6: Final answer
    x = 399,556.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.